9618900480 has 960 divisors, whose sum is σ = 41569482240. Its totient is φ = 2006581248.

The previous prime is 9618900463. The next prime is 9618900527. The reversal of 9618900480 is 840098169.

9618900480 is a `hidden beast` number, since 96 + 1 + 89 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131765724 + ... + 131765796.

It is an arithmetic number, because the mean of its divisors is an integer number (43301544).

Almost surely, 2^9618900480 is an apocalyptic number.

9618900480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9618900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20784741120).

9618900480 is an abundant number, since it is smaller than the sum of its proper divisors (31950581760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9618900480 is a wasteful number, since it uses less digits than its factorization.

9618900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9618900480 is about 98075.9933928788. The cubic root of 9618900480 is about 2126.7109988149.

The spelling of 9618900480 in words is "nine billion, six hundred eighteen million, nine hundred thousand, four hundred eighty".